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455006112 = 253115967109
BaseRepresentation
bin11011000111101…
…101011110100000
31011201011201001020
4123013231132200
51412440143422
6113052205440
714163326301
oct3307553640
91151151036
10455006112
11213925910
12108469880
13733604b2
14446027a8
1529e2b95c
hex1b1ed7a0

455006112 has 192 divisors, whose sum is σ = 1357171200. Its totient is φ = 132295680.

The previous prime is 455006093. The next prime is 455006119. The reversal of 455006112 is 211600554.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (455006119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4174314 + ... + 4174422.

It is an arithmetic number, because the mean of its divisors is an integer number (7068600).

Almost surely, 2455006112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

455006112 is an abundant number, since it is smaller than the sum of its proper divisors (902165088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455006112 is a wasteful number, since it uses less digits than its factorization.

455006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 455006112 is about 21330.8722747102. The cubic root of 455006112 is about 769.1406120141.

Adding to 455006112 its reverse (211600554), we get a palindrome (666606666).

The spelling of 455006112 in words is "four hundred fifty-five million, six thousand, one hundred twelve".